1. An extensive survey on adults' preferred form of fast food resulted in the following table of probabilities. Note: A person can be classified in only one of the categories. Food Pref Probability a. Is this a valid probability distribution? burger .40 Why or why not? (2 criteria) chicken .24 fish .08 sub 16 salad .12 TRANSLATE INTO PROBABILITY SYMBOLISM AND FIND THE PROBABILITY THAT b. a person does not prefer chicken c. a person prefers fish, a sub, or a salad 2. Given three events A, B, C: A and B are independent, A and C are mutually exclusive. Suppose P(A) = .2, P(B) = .4, and P(C) = .32. Find: a. P(A n C) b. P(A UC) c. P(A | C) d. P(An B) e. P(AUB) f. P(A | B)